A generalization of the Shell Theorem. <br/>Electric potential of charged spheres and charged vesicles surrounded by electrolyte

István P. Sugár; István P. Sugár

doi:10.3934/biophy.2023003

AIMS Biophysics

2023, Volume 10, Issue 1: 23-24. doi: 10.3934/biophy.2023003

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Correction

A generalization of the Shell Theorem.
Electric potential of charged spheres and charged vesicles surrounded by electrolyte

István P. Sugár ^,

Department of Neurology, Icahn School of Medicine at Mount Sinai, New York, NY 10029

Received: 06 January 2023 Revised: 10 January 2023 Accepted: 10 January 2023 Published: 13 January 2023

Citation: István P. Sugár. A generalization of the Shell Theorem. Electric potential of charged spheres and charged vesicles surrounded by electrolyte[J]. AIMS Biophysics, 2023, 10(1): 23-24. doi: 10.3934/biophy.2023003

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A correction on

István P. Sugár. A generalization of the Shell Theorem.Electric potential of charged spheres and charged vesicles surrounded by electrolyte. AIMS Biophysics, 2020, 7(2): 76–89. DOI: 10.3934/biophy.2020007. The author noticed an error in Eq.4. When the error was identified, it was corrected immediately.

The current incorrect version of Eq.4 is:

$V (\underline{r}) = \int \int \int d^{3} {\underline{r}}^{'} \frac{ρ ({\underline{r}}^{'})}{4 π ϵ_{0} ϵ} \frac{e^{- | \underline{r} - {\underline{r}}^{'} | / λ_{D}}}{| \underline{r} - {\underline{r}}^{'} \underline{r}' |}$ (4)

The correct version of Eq.4 should be:

$V (\underline{r}) = \int \int \int d^{3} {\underline{r}}^{'} \frac{ρ ({\underline{r}}^{'})}{4 π ϵ_{0} ϵ} \frac{e^{- | \underline{r} - {\underline{r}}^{'} | / λ_{D}}}{| \underline{r} - {\underline{r}}^{'} |}$ (4)

Conflict of interest

The author declares no conflict of interest.
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© 2023 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)

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Electric potential of charged spheres and charged vesicles surrounded by electrolyte

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A generalization of the Shell Theorem.
Electric potential of charged spheres and charged vesicles surrounded by electrolyte